What is the Greatest Common Factor of 4970 and 4977?

Greatest common factor (GCF) of 4970 and 4977 is 7.

GCF(4970,4977) = 7

We will now calculate the prime factors of 4970 and 4977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4970 and 4977.

How to find the GCF of 4970 and 4977?

We will first find the prime factorization of 4970 and 4977. After we will calculate the factors of 4970 and 4977 and find the biggest common factor number .

Step-1: Prime Factorization of 4970

Prime factors of 4970 are 2, 5, 7, 71. Prime factorization of 4970 in exponential form is:

4970 = 2¹ × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 4977

Prime factors of 4977 are 3, 7, 79. Prime factorization of 4977 in exponential form is:

4977 = 3² × 7¹ × 79¹

Step-3: Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485

Step-4: Factors of 4977

List of positive integer factors of 4977 that divides 4970 without a remainder.

1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4970 and 4977. The biggest common factor number is the GCF number.
So the greatest common factor 4970 and 4977 is 7.

Also check out the Least Common Multiple of 4970 and 4977